Adaptive control of a Wiener type system: application of a pH Neutralization reactor

In this paper the problem of on-line identification and adaptive control of a Wiener type non-linear system is studied. First, a Wiener model is defined whose linear and non-linear parts are described using Laguerre and piecewise linear basis functions, respectively. Then, an adaptive identification...

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Published inInternational journal of control Vol. 80; no. 2; pp. 231 - 240
Main Authors Figueroa, J. L., Cousseau, J. E., Werner, S., Laakso, T.
Format Journal Article
LanguageEnglish
Published London Taylor & Francis Group 01.02.2007
Taylor & Francis
Subjects
Adaptative systems
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Modelling and identification
Adaptive algorithm
Non linear control
Control synthesis
Wiener process
Laguerre polynomial
Adaptive control
Modeling
Model matching
pH
System identification
Piecewise linearization
Input output model
Neutralization
Online AccessGet full text
ISSN0020-7179
1366-5820
DOI10.1080/00207170600977815

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Abstract In this paper the problem of on-line identification and adaptive control of a Wiener type non-linear system is studied. First, a Wiener model is defined whose linear and non-linear parts are described using Laguerre and piecewise linear basis functions, respectively. Then, an adaptive identification algorithm for this model is presented. A local convergence analysis for the adaptive identification is performed. The model obtained is used to adapt the parameters of a controller designed for the specific structure of the model. The complete scheme is applied to a simulation of a pH neutralization reactor subject to several perturbations. The results show the improved behaviour of the proposed scheme compared with other approaches found in the literature.
AbstractList In this paper the problem of on-line identification and adaptive control of a Wiener type non-linear system is studied. First, a Wiener model is defined whose linear and non-linear parts are described using Laguerre and piecewise linear basis functions, respectively. Then, an adaptive identification algorithm for this model is presented. A local convergence analysis for the adaptive identification is performed. The model obtained is used to adapt the parameters of a controller designed for the specific structure of the model. The complete scheme is applied to a simulation of a pH neutralization reactor subject to several perturbations. The results show the improved behaviour of the proposed scheme compared with other approaches found in the literature.
Author Cousseau, J. E.
Figueroa, J. L.
Werner, S.
Laakso, T.
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  organization: Signal Processing Laboratory, Smart and Novel Radios (SMARAD) Center of Excellence , Helsinki University of Technology
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Issue 2
Keywords Adaptive algorithm
Non linear control
Control synthesis
Wiener process
Laguerre polynomial
Adaptive control
Modeling
Model matching
pH
System identification
Piecewise linearization
Input output model
Neutralization
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SubjectTerms Adaptative systems
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control theory. Systems
Exact sciences and technology
Modelling and identification
Title Adaptive control of a Wiener type system: application of a pH Neutralization reactor
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